Question
Download Solution PDFजर (5 + 3√2) (5 - 3√2) चे धन वर्गमूळ α असेल, तर 8 + 2α चे धन वर्गमूळ किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFवापरलेले सूत्र:
(a - b) (a + b) = a2 - b2
(a2 + 2ab + b2) = (a + b)2
गणना:
दिलेल्याप्रमाणे,
α = √[(5 + 3√2) (5 - 3√2)]
(a - b) (a + b) = a2 - b2 असल्याने,
α = √[(52 - (3√2)2]
α = √(25 - 18) = √7
आवश्यक वर्गमूळ β मानू
β = √(8 + 2√7) = √(7 + 1 + 2√7)
β = √[(√7)2 + 2.1.√7 + (1)2]
β = √(√7 + 1)2
(a2 + 2ab + b2) = (a + b)2 असल्याने,
β = √7 + 1
Last updated on Jun 18, 2025
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